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Finding the Fourth Proportional to 10,876.80, 16,302.60 and 5,021.20

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Solution

The fourth proportional to 10,876.80, 16,302.60 and 5,021.20 is: 7,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.80 : 16,302.60 = 5,021.20 : x
  2. Step 2: Convert to fraction form
    10,876.80/16,302.60 = 5,021.20/x
  3. Step 3: Cross multiply
    10,876.80x = 16,302.60 × 5,021.20
  4. Step 4: Simplify right side
    10,876.80x = 81,858,615.12
  5. Step 5: Solve for x
    x = 81,858,615.12/10,876.80
  6. Step 6: Final answer
    x = 7,525.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.